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Finding the Fourth Proportional to 222.81, 332.24 and 214.17

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Solution

The fourth proportional to 222.81, 332.24 and 214.17 is: 319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.81 : 332.24 = 214.17 : x
  2. Step 2: Convert to fraction form
    222.81/332.24 = 214.17/x
  3. Step 3: Cross multiply
    222.81x = 332.24 × 214.17
  4. Step 4: Simplify right side
    222.81x = 71,155.84
  5. Step 5: Solve for x
    x = 71,155.84/222.81
  6. Step 6: Final answer
    x = 319.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.